All categories

2 years ago

What is √34cos(x-46.7) =4

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

5 0

Answer:

x = 93.4° ( to 1 dec. place )

Step-by-step explanation:

Given

$\sqrt{34}$ cos(x - 46.7)° = 4 ( divide both sides by $\sqrt{34}$ )

cos(x - 46.7)° = $\frac{4}{\sqrt{34} }$ , thus

x - 46.7 = $cos^{-1}$ ( $\frac{4}{\sqrt{34} }$ ) ≈ 46.7° ( add 46.7° to both sides )

x ≈ 93.4°

You might be interested in

~Please help as soon as possible~

Setler79 [48]

60/40 =5

40*5=200

Answer For 1 is 200

35/10=3.5

20*3.5=70

Answer For 2 is 70 Pounds

85/40=2.125

2.125*600

1275

Answer For 3 is 1275

5 0

2 years ago

Read 2 more answers

Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

KiRa [710]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

Learn more about trigonometric ratios at

brainly.com/question/20367642

#SPJ1

8 0

1 year ago

Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the

IrinaVladis [17]

There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.

People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.

Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.

As the number of people is 20 and 20 seats are to filled exactly once.

So, the number of ways = 20!

Learn more about number here:

brainly.com/question/1991469

#SPJ1

4 0

1 year ago

How do you do this question?

mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

$\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}$

Graph: desmos.com/calculator/mezlen9hb4

3 0

3 years ago

Identify the percent of change as increase or decrease of 138 to 75

RUDIKE [14]

138 x ? = 75
? = 75/138 = 0.544(3sf)
so about 54.35% (2dp) decrease

8 0

2 years ago